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Finding the Third Proportional to 119,078 and 184,299

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Solution

The third proportional to 119,078 and 184,299 is: 285,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078 : 184,299 = 184,299 : x
  2. Step 2: Convert to fraction form
    119,078/184,299 = 184,299/x
  3. Step 3: Cross multiply
    119,078x = 184,299 × 184,299
  4. Step 4: Simplify right side
    119,078x = 33,966,121,401
  5. Step 5: Solve for x
    x = 33,966,121,401/119,078
  6. Step 6: Final answer
    x = 285,242.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.